MathDB
P 21

Source:

May 25, 2007
floor functionfunctionpigeonhole principlequadraticsmodular arithmeticalgebradomain

Problem Statement

Let AA be the set of positive integers of the form a2+2b2a^2 +2b^2, where aa and bb are integers and b0b \neq 0. Show that if pp is a prime number and p2Ap^2 \in A, then pAp \in A.